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On the Critical Str...
On the Critical Strip of the Riemann zeta Fractional derivative
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- Cattani, Carlo (author)
- University of Tuscia Largo dell’Universita, Italy
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- Guariglia, Emanuel, 1982- (author)
- Mälardalens högskola,Utbildningsvetenskap och Matematik,University of Salerno, Italy,MAM
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- Wang, Shuihua (author)
- Nanjing University, China
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(creator_code:org_t)
- 2017
- 2017
- English.
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In: Fundamenta Informaticae. - 0169-2968 .- 1875-8681. ; 151, s. 459-472
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https://urn.kb.se/re...
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Abstract
Subject headings
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- The fractional derivative of the Dirichlet eta function is computed in order to investigate the behavior of the fractional derivative of the Riemann zeta function on the critical strip. Its convergence is studied. In particular, its half-plane of convergence gives the possibility to better understand the fractional derivative of the Riemann zeta function and its critical strip. As an application, two signal processing networks, corresponding to the fractional derivative of the eta function and to its Fourier transform, respectively, are shortly described.
Subject headings
- NATURVETENSKAP -- Matematik -- Beräkningsmatematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Computational Mathematics (hsv//eng)
- NATURVETENSKAP -- Matematik -- Matematisk analys (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Mathematical Analysis (hsv//eng)
Keyword
- Fractional derivative; Riemann zeta function; Dirichlet eta function; signal processing; Fourier transform operator; critical strip.
- Mathematics/Applied Mathematics
- matematik/tillämpad matematik
Publication and Content Type
- ref (subject category)
- art (subject category)
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